Bandwidth of One Pole
A typical formula relating 3-dB bandwidth (in Hz) to the pole
radius
is
where
![$ T$](http://www.dsprelated.com/josimages_new/filters/img96.png)
![$ B$](http://www.dsprelated.com/josimages_new/filters/img949.png)
![$\displaystyle B = - \frac{\ln(R)}{\pi T}.
$](http://www.dsprelated.com/josimages_new/filters/img1057.png)
![$ B$](http://www.dsprelated.com/josimages_new/filters/img949.png)
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Time Constant of One Pole
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Stability Revisited
A typical formula relating 3-dB bandwidth (in Hz) to the pole
radius
is